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Sampling Optimization Trade-offs  for Long-term Monitoring  of Gamma Dose Rates S.J. Melles, G.B.M. Heuvelink,  C.J.W. Twenh ö fel, and U. St ö hlker Presented at ICCSA,  GEOG-AN-MOD July 2, 2008, Perugia, Italy
Where do we go? ,[object Object],[object Object],[object Object],[object Object]
Motivation  & motivating questions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Design-based vs. Model-based deterministic probability based, global vs. stochastic model-based, local ,[object Object],[object Object],[object Object],[object Object],[object Object]
Part 2:  Methods to predict or describe spatial variability in environmental variables
Spatial variability  in geostats ,[object Object],[object Object],[object Object],[object Object]
Spatial variability  in geostats – in order to do statistics and make inferences we assume ,[object Object],[object Object],[object Object],[object Object],[object Object]
Regression kriging often w/ enviro data, we have known deterministic trends that influence our var of interest, and for which the parameters are unknown (a spatial regression technique) ,[object Object],[object Object],[object Object],[object Object]
Example: variogram & point cloud ,[object Object],Semivariance  Îł (h) 0.6 0.4 0.2 Distance (h) 1500  1000  500  Distance (h) 1500  1000  500
Part 2:  Example:  Îł - dose rate radiation
Example: mean long term  Îł -dose rates  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Spatially correlated residuals notice directionality in residuals 0 frequency 60 0 40 -40
Modelled with aniso variogram  spherical and linear component in all directions, but spherical is dominant in swesterly and linear in ortho
Regression kriging prediction 30 80 nSv/hr
Kriging prediction error variance 65 85 nSv/hr
Part 3:  Optimization
How to optimize? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],residual component trend component
Optimization by simulated annealing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Minimizing the objective function (RKSE) Current design Optimized design
Examining the trade-offs?  Costs
Part 4:  What have we learned?  Where to from here?
What have we learned? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Doesn’t that look like even spatial coverage sampling? Current thinned design ( 50% stations) Optimized design (50% stations) Npp
Where to from here: ,[object Object],[object Object],[object Object],[object Object],[object Object]
Where to from here: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
THANK YOU!
Appendix
P  of accepting a worsening design Delta f is the change in MUKV
Coming up with the costs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Coming up with weights? ,[object Object],[object Object],[object Object],[object Object]
Dynamic case

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Melles

Hinweis der Redaktion

  1. I’d like to thank the organizers for allowing me to present our work on sampling design optimization and thank you to the audience for coming. I realize that this is actually siesta time after lunch, so I won’t be offended if you power nap at optimal moments. My talk is about the design of a monitoring network for the measurement of an environmental variable of interest. In this case, we look at the sampling design of radiation monitoring networks in the Netherlands and the two neighbouring German states of Niedersachen and Noord westfalen. The environmental variable of interest here is natural background radiation levels.